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arXiv:0802.4304 [math.GN]AbstractReferencesReviewsResources

Group Actions and Covering Maps in the Uniform Category

N. Brodskiy, J. Dydak, B. Labuz, A. Mitra

Published 2008-02-28Version 1

In Rips Complexes and Covers in the Uniform Category (arXiv:0706.3937) we define, following James, covering maps of uniform spaces and introduce the concept of generalized uniform covering maps. In this paper we investigate when these covering maps are induced by group actions. Also, as an application of our results we present an exposition of Prajs' homogeneous curve that is path-connected but not locally connected.

Comments: 16 pages
Journal: Topology and its Applications 157 (2010) 2593-2603
Categories: math.GN, math.MG
Subjects: 55Q52, 55M10, 54E15
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